COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 3, Problem 64QAP
To determine
How much farther, Marcus and Cody must hike to reach their destination 12.0 km North of their starting point.
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Q1) A particle moves on X-Y
coordinate system. It starts
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from X1 = -8m then moved to
X2 = 14m, then it came back to
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16m on the y-axis. What is the
total distance and net
?displacement
F2-19. Express rAR as a Cartesian vector, then determine its
magnitude and coordinate direction angles.
3 'm
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3 m
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A rabbit trying to escape a fox runs north for 2.0 m, darts northwest for 6.0 m, then drops 1.0 m down a hole into its burrow. What is the magnitude of the net displacement of the rabbit?
A) 9.0 m
B) 41 m
C) 6.3 m
D) 7.6 m
Chapter 3 Solutions
COLLEGE PHYSICS
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- Repeat the problem above, but reverse the order of the two legs of the walk; show that you get the same final result. That is, you first walk leg B, which is 20.0 m in a direction exactly 40° south of west, and then leg A, which is 12.0 m in a direction exactly 20° west of north. (This problem shows that A+B=B+A .)arrow_forwardSuppose you first walk 12.0 m in a direction 20° west of north and then 20.0 m in a direction 40.0° south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.56, then this problem finds their sum R=A+B. )arrow_forwardFind the following for path A in Figure 3.54: (a) the total distance traveled, and (b) the magnitude and direction of the displacement from start to finish.arrow_forward
- Q1) An object travels on X-axis from point X1= -10 m to point X2 12m and then to point X3 = -24 m. What is the total distance and ?net displacementarrow_forwardCHAPTER 3 Vectors 68 Example 3.3 The Sum of Two Vectors Find the sum of two vectors A and B lying in the xy plane and given by A = (2.01 + 2.0j) m B = (2.0î – 4.0j) and %3D ות %3D Solution You may wish to draw the vectors to conceptualize the situation. We calegorize this as a simple plug-in problem. Comparing this expression for A with the general expres- sion A = A, i + A,j, we see that A Likewise, B = 2.0 m and B, = - 4.0 m. We obtain the resul- tant vector R, using Equation 3.14: 2.0 m and A, = 2.0 m. %3D %3D R = A + B = (2.0 + 2.0)î m + (2.0 – 4.0)j m = (4.0i – 2.0j) n or R= 4.0 m R, = - 2.0 m %3Darrow_forwardQUESTION 3 Problem An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72° north of west, and then 150 m due south. Save the explorer from becoming hopelessly lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter. Solution By vector-component approach, we list down the given in a table as follows: Given X-component (w/ sign direction) y-component (w/ sign direction) A = 50 m NE m m B = 180 m 72° NW C = 150 m S m Resultant m Thus, the magnitude of the resultant vector is R = With a direction of e = O NW Therefore, the vector needed for him to successfully get back home is Rhome = O SE E E E E Earrow_forward
- 25 QUESTION 4 Problem An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72° north of west, and then 150 m due south. Save the explorer from becoming hopelessly lost by giving him the displacement, calculated by using the method of components, that will retum him to his shelter. Solution By vector-component approach, we list down the given in a table as follows: X-component (w/ sign direction) y-component (w/ sign direction) Given A = 50 m NE %3D B 180 m 72° NW m C 150 m S %3D m Resultant Thus, the magnitude of the resultant vector is R = With a direction of O NW Therefore, the vector needed for him to successfully get back home is O SE Rhome = %3D EEEE EEEarrow_forwarde-Services Academic Departments ETC CIMS Portal Reports Ibrahim Question 3 A bullet is fired from a gun. The bullet travels a distance L = 190 + 0.5 m during a time interval t= 0.5 ± 0.04 s. Not yet answered Marked out of 2.00 P Flag question The speed of the bullet (in m/s) can be calculated using the formula, Speed = L/t. Calculate the, a) Speed of the bullet (in m/s) = b) Fractional uncertainty in the speed = C) Absolute uncertainty (in m/s) in the speed =arrow_forwardQ31) If A= 2i + 1j and B =i + 5j, what is the direction of the sum of these two vectors with respect to the positive x-axis.? A) 27° B) 37° C) 63° D) 53°arrow_forward
- Give a specific example of a vector, stating its magnitude, units, and direction.arrow_forward(a) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0° north of east (which is equivalent to subtracting B from A that is, to finding R=AB ). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° south of west and then 12.0 m in a direction 20.0° east of south (which is equivalent to subtracting A from B that is, to finding R=BA=R ). Show that this is the case.arrow_forwardA man in a maze makes three consecutive displacements. His first displacement is 8.00 m westward, and the second is 13.0 m northward. At the end of his third displacement he is back to where he started. Use the graphical method to find the magnitude and direction of his third displacement.arrow_forward
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